different between nilpotence vs nilpotent
nilpotence
English
Noun
nilpotence (uncountable)
- The quality of being nilpotent.
nilpotence From the web:
nilpotent
English
Etymology
From nil (“not any”) +? potent (“having power”) with literal meaning “having zero power” - bearing Latin roots nil and potens.Coined in 1870, along with idempotent, by American mathematician Benjamin Peirce to describe elements of associative algebras.
Adjective
nilpotent (not comparable)
- (algebra, ring theory, of an element x of a semigroup or ring) Such that, for some positive integer n, xn = 0.
- 2012, Martin W. Liebeck, Gary M. Seitz, Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras, American Mathematical Society, page 129,
- The rest of this book is devoted to determining the conjugacy classes and centralizers of nilpotent elements in L(G) and unipotent elements in G, where G is an exceptional algebraic group of type E8,E7, E6, F4 or G2 over an algebraically closed field K of characteristic p. This chapter contains statements of the main results for nilpotent elements.
- 2012, Martin W. Liebeck, Gary M. Seitz, Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras, American Mathematical Society, page 129,
Coordinate terms
- idempotent
Derived terms
- nilpotent algebra
- nilpotent ideal
- nilpotently
- nilpotent orbit
- nilpotent semigroup
Related terms
- nilpotence
- nilpotency
- idempotent
- nullipotent
- unipotent
Translations
Noun
nilpotent (plural nilpotents)
- (algebra) A nilpotent element.
nilpotent From the web:
- what nilpotent element
- what is nilpotent matrix
- what is nilpotent matrix with example
- what is nilpotent group
- what is nilpotent series
- what is a nilpotent subalgebra
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